Explain how to find the product of 3/7 X 7/9 . Use complete sentences in your answer.

Answer:

45°

Step-by-step explanation:

There is a propiety that says "The measure of the inscribed angle is half that of the arc that the two sides cut out of the circle."

So the central angle is 90, the inscribed angle will be 90/2=45°

You are given the equation [tex]f(x)=x+6[/tex] and [tex]g(x)=x^4[/tex]. When you combine G(F(x))  your equation would come out as [tex]g(f(x))=x^4(x+6)[/tex]. Once you distribute the equation you will get [tex]g(f(x))=(x+6)^4[/tex]

Therefore you answer choice would be B. [tex](x+6)^4[/tex]

Answer:

1/2

Step-by-step explanation:

Find two points on the line

(2,0) and (4,1)

The slope is given by

m= (y2-y1)/(x2-x1)

   =(1-0)/(4-2)

   = 1/2

Answer:

The answer would 177.06 centimeters

Answer:

We use the binomial distribution to describe this situation.

The mean number of phone sales is 749.7 with a standard deviation of 15.

Step-by-step explanation:

For each shopper, there are only two possible outcomes. Either they plan to purchase the newly released smart phone, or they do not. Each customer is independent of other customers. So we use the binomial distribution to solve this question.

Binomial probability distribution

Probability of exactly x sucesses on n repeated trials, with p probability.

The expected value of the binomial distribution is:

[tex]E(X) = np[/tex]

The standard deviation of the binomial distribution is:

[tex]\sqrt{V(X)} = \sqrt{np(1-p)}[/tex]

Fifty random shoppers at an electronics store have been interviewed and 35 of them intend to purchase a newly released smart phone.

This means that [tex]p = \frac{35}{50} = 0.7[/tex]

What are its mean and standard deviation of phone sales if we are concerned about 1071 shoppers that day

1071 shoppers, so [tex]n = 1071[/tex]

Mean

[tex]E(X) = 1071*0.7 = 749.7[/tex]

Standard deviation

[tex]\sqrt{V(X)} = \sqrt{1071*0.7*0.3} = 15[/tex]

The mean number of phone sales is 749.7 with a standard deviation of 15.

Answer:

0.699

Step-by-step explanation:

got it on khan academy, should get brainliest thanks

Since our first equation reads y = 2x + 3, we can substitute a 2x + 3

in for y in our second equation and then solve from there.

So we have 2x + 3 = x + 2.

Now subtract x from both sides to get x + 3 = 2.

Now subtract 3 from both sides to get x = -1.

To find y, plug -1 back into either equation.

I have chosen to plug it into the second.

So we have y = (-1) + 2 which simplifies to 1.

So our solution to this system is (-1, 1).

Answer:

Step-by-step explanation:

For a rectangular prism, a plane intersecting this prism produces a two dimensional figure as its cross section and in this case the cross section is a rectangle.

For a triangular prism, a plane intersecting this prism produces a two dimensional figure as its cross section and in this case the cross section is a triangle.

Answer:

  see below

Step-by-step explanation:

The way the problem is worded, we expect "n" to represent the year number we're at the beginning of. That is the initial balance is that when n=1, and the balance at the beginning of year 5 (after interest accrues for 4 years) is the value of obtained when n=5.

After compounding interest for 4 years, the balance will be ...

  500·1.04^4 = 584.93

The matching answer choice is shown below.

Answer:

b

Step-by-step explanation:

Answer:

undefined.

Step-by-step explanation:

-2-5/-3-(-3)

-7/0

Undefined

Answer:

0.0178

Step-by-step explanation:

For computation of probability that all fourteen bets lose first we need to find out the Probability of losing in 1 bet is shown below:-

Probability of losing in 1 bet = 1 - P(winning)

= 1 - 0.25

= 0.75

With the help of probability of losing in 1 bet we can find out the Probability of losing in 8 bets which is here below:-

= Probability of losing in 1 bet ^ Number of loosing bets

= 0.75 ^ 14

= 0.017817948

or

= 0.0178

Therefore for computing the probability that all fourteen bets lose we simply applied the above formula.

Answer:

7/9

Step-by-step explanation:

7/15 ÷ 3/5

Copy dot flip

7/15 * 5/3

7/3 * 5/15

7/3 * 1/3

7/9

Answer:

[tex]x + y = \frac{1000}{9}[/tex]

Step-by-step explanation:

Step 1: Identify the approach:

With this problem, the general solution is to try manipulate given data and transform data into a new form, in which, the desired value [tex](x + y)[/tex] is on the left side and all of other components which do not contain [tex]x[/tex] or [tex]y[/tex] are on the right side.

Step 2: Analyze:

[tex]9x + 2y^{2} - 3z^{2} = 132\\9y - 2y^{2} + 3z^{2} = 867[/tex]

Realize that in both equations, the [tex]2y^{2}[/tex] and [tex]3z^{2}[/tex] are in form of different signs. Then adding up corresponding sides of both equation can help eliminate these undesired components.

Step 3: Perform manipulation:

[tex]9x + 2y^{2} - 3z^{2} + 9y - 2y^{2} - 3z^{2} = 132 + 867[/tex]

Rearrange:

[tex](9x + 9y) + (2y^{2} - 2y^{2}) +(3z^{2} - 3z^{2}) = 132 + 867[/tex]

Simplify:

[tex]9(x + y) + 0 + 0 = 1000[/tex]

Simplify:

[tex]x + y = \frac{1000}{9}[/tex]

Hope this helps!

:)

Answer:

0-4: Make it 2 units tall

5-9: Make it 5 units tall

10-14: Make it 1 unit tall

15-19: Make it 4 units tall

20-24: Make it 4 units tall

Step-by-step explanation:

0-4: 2, 2 (2 numbers)

5-9: 6, 7, 7, 8, 9 (5 numbers)

10-14: 14 (1 number)

15-19: 15, 16, 16, 18 (4 numbers)

20-24: 21, 23, 23, 24 (4 numbers)

Answer:

-3/4

Step-by-step explanation:

Find two points on the line

(0,1) and (-4,4)

We can use the slope formula

m = (y2-y1)/(x2-x1)

   = (4 -1)/(-4 -0)

    = 3/-4

    = -3/4

Answer:

E:

Step-by-step explanation:

The equation of circles is

(x-a)²+(y-b)²=r²

Where

Center = (a,b) = (-6,-3) and r = 12

Now

The equation becomes

(x+6)²+(x+3)²=144

Answer:

x=7, y=2

Step-by-step explanation:

Solve2x+3y=20for x:

2x+3y=20

2x+3y+−3y=20+−3y

2x=−3y+20

2x/2=-3y+20/2

x= -3/2 y

Answer:

  4u²

Step-by-step explanation:

  [tex]\dfrac{12u^3 + 48u^2v}{3u+12v}=\dfrac{12u^2(u+4v)}{3(u+4v)}=\boxed{4u^2}[/tex]

Common factors cancel from numerator and denominator. The one factor that might make the expression undefined is given as non-zero, so no additional restrictions apply.

Answer:

A, B, and E

Step-by-step explanation:

Answer:

abe

Step-by-step explanation:

Answer:

[tex] P= 2*Lenght + 2*Width[/tex]

Since the perimeter is 56 inches we can solve for the lenght with this equation:

[tex] 56 in = 2*12in + 2*Length[/tex]

And solving for the length we got:

[tex] Length = \frac{56in -24 in}{2} 16 in[/tex]

So then the lenght = 16 inhes and the width of 12 inches

Step-by-step explanation:

For a rectangle of width 12 inches and lenght y inches we know that the perimeter is given by:

[tex] P= 2*Lenght + 2*Width[/tex]

Since the perimeter is 56 inches we can solve for the lenght with this equation:

[tex] 56 in = 2*12in + 2*Length[/tex]

And solving for the length we got:

[tex] Length = \frac{56in -24 in}{2} 16 in[/tex]

So then the lenght = 16 inhes and the width of 12 inches

Answer:

C

Step-by-step explanation:

C=2pier or pied

Answer:

a. C = 2πr

c. C= πd

both are correct

Answer:

y = (-3/4)x + 7/4

Step-by-step explanation:

Step 1: Define general form of equation of line

An equation of a straight line on two-dimensional plane could be represented in form of: y = Mx + b, with M is slope and b is y-intercept

Step 2: Set up the system to solve for parameters of equation of line

(solve for M and b)

That equation passes 2 points, which are represented in form of (x, y), (5, -2) and (-3, 4).

Substitute these values of x and y into the original equation in step 1:

-2 = 5M + b

4 = -3M + b

Step 3: Solve the system of equations in step 2 for M and b

Subtract 1st equation from 2nd equation:

     6 = -8M

=> M = -6/8 = -3/4

Substitute M back into 1st equation:

=> -2 = 5*(-3/4) + b

=>  b = -2 + 15/4

=>  b = 7/4

=>  The equation of the line that passes through (5, -2) and (-3, 4):

      y = (-3/4)x + 7/4

Hope this helps!

:)

Answer:

Y= -4/3(x-7/2)

Step-by-step explanation:

So first calculate the difference between them,

changes by 8 x units, and -6 y units.

Then substitute them into y/x to find gradient

-6/8 = -4/3

so now we have a part of the equation:

Y= -4/3(x-a)

substitute Y= -2 and x=5 (from (5,-2))

-2= -4/3(5-a)

-2= -20/3+4a/3

Multiply by 3 on both sides

-6= -20+4a

add 20 on both sides

14=4a

a=7/2

use this as the value of a

Y= -4/3(x-7/2)

Answer:

x =44

Step-by-step explanation:

0.2x + (-0.9) + 1.7 = 9.6

Combine like terms

.2x +.8 = 9.6

Subtract .8 from each side

.2x +.8 -.8 = 9.6 -.8

.2x = 8.8

Divide each side by .2

.2x/.2 = 8.8/.2

x =44

Answer:

60%

Step-by-step explanation:

3/5 is 60%

Answer:

60%

Step-by-step explanation:

5/5 minus 2/5 is 3/5

5 divided by 3 is .6

in order to find out the percent move the decimal over to the right

Answer:

The coefficients for the quadratic regression curve are

a = (-2/3) = -0.6667

b = (11/3) = 3.6667

c = 1 = 1.0000

y(x) = -0.6667x² + 3.6667x + 1.0000

Step-by-step explanation:

Quadratic regression curve gives a general expression of

y = ax² + bx + c

And the points on the curve include

(1, 4), (3, 6), (4, 5), (5, 2)

Taking the points one at a time and substituting them into general quadratic curve expression

(1, 4), x = 1, y = 4

y = ax² + bx + c

4 = a + b + c (eqn 1)

(3, 6), x = 3, y = 6

6 = a(3²) + b(3) + c

6 = 9a + 3b + c (eqn 2)

(4, 5), x = 4, y = 5

5 = a(4²) + b(4) + c

5 = 16a + 4b + c (eqn 3)

Combining the 3 equations and solving simultaneously

4 = a + b + c

6 = 9a + 3b + c

5 = 16a + 4b + c

From eqn 1, c = 4 - a - b

Substituting this into eqn 2 and 3, we have

6 = 9a + 3b + 4 - a - b

2 = 8a + 2b (*)

5 = 16a + 4b + 4 - a - b

1 = 15a + 3b (**)

8a + 2b = 2

15a + 3b = 1

a = (-2/3), b = (11/3)

c = 4 - a - b

c = 4 - (-2/3) - (11/3)

c = 1

Hence, the coefficients for the quadratic regression curve are

a = (-2/3) = -0.6667

b = (11/3) = 3.6667

c = 1 = 1.0000

y(x) = -0.6667x² + 3.6667x + 1.0000

Hope this Helps!!!

The right answer is (1/2 , 5)

please see the attached picture for full solution

Hope it helps

Good luck on your assignment

Answer:

4.18% probability that less than 80% of this sample will devote work time to follow games

Step-by-step explanation:

Normal probability distribution

When the distribution is normal, we use the z-score formula.

In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the zscore of a measure X is given by:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

Central Limit Theorem

The Central Limit Theorem estabilishes that, for a normally distributed random variable X, with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]s = \frac{\sigma}{\sqrt{n}}[/tex].

For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.

For a proportion p in a sample of size n, the sampling distribution of the sample proportion will be approximately normal with mean [tex]\mu = p[/tex] and standard deviation [tex]s = \sqrt{\frac{p(1-p)}{n}}[/tex]

In this question, we have that:

[tex]p = 0.86, n = 100[/tex]

So

[tex]\mu = 0.86, s = \sqrt{\frac{0.86*0.14}{100}} = 0.0347[/tex]

What is the probability that less than 80% of this sample will devote work time to follow games?

This is the pvalue of Z when X = 0.8. So

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

By the Central Limit Theorem

[tex]Z = \frac{X - \mu}{s}[/tex]

[tex]Z = \frac{0.8 - 0.86}{0.0347}[/tex]

[tex]Z = -1.73[/tex]

[tex]Z = -1.73[/tex] has a pvalue of 0.0418

4.18% probability that less than 80% of this sample will devote work time to follow games

Answer:

1/24

Step-by-step explanation:

1/4*1/2*1/3 = 1/24

[tex]z_1z_2=(3+2i)(4+3i)=3\cdot4+2i\cdot4+3\cdot3i+2i\cdot3i[/tex]

[tex]z_1z_2=12+8i+9i+6i^2[/tex]

[tex]i^2=-1[/tex], so

[tex]z_1z_2=12+8i+9i-6=\boxed{6+17i}[/tex]